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Finding the Third Proportional to 204,176,280 and 313,833,568

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Solution

The third proportional to 204,176,280 and 313,833,568 is: 482,384,674.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,176,280 : 313,833,568 = 313,833,568 : x
  2. Step 2: Convert to fraction form
    204,176,280/313,833,568 = 313,833,568/x
  3. Step 3: Cross multiply
    204,176,280x = 313,833,568 × 313,833,568
  4. Step 4: Simplify right side
    204,176,280x = 98,491,508,403,610,624
  5. Step 5: Solve for x
    x = 98,491,508,403,610,624/204,176,280
  6. Step 6: Final answer
    x = 482,384,674.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.